Use your analytical skills to evaluate the limit. 1 3 3 a - lim a = b =

Q: An air traffic controller is monitoring two small planes flying at the same altitude. One is flying ...

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Q: Find all the values of x such that the given series would converge. (2a)" n7 n=1 The series is conve...

A: The given series is: ∑n=1∞(2x)nn7...(1) Let, an=(2x)nn7; n≥1

Q: Select all that apply. For the quadrant in which the following point is located, determine which of...

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Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

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Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second ...

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Q: Let x, Y be positive real numbers. If x2 – y² =1, then x or y (or both) is not an integer.

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Q: 3. Differentiate the following x2-1 a) y = x2+1

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Q: Find lim   x3 + 3x2 + 3x + 1      x - 1    2x3 + 3x2 - 1

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Q: (b) Suppose $2,100 is borrowed and the interest is compounded continuously. If A(E) is the amount du...

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 ...

A: area under the curve, solve integral

Q: The graph of the equation x = D where D is any real number is a Plane parallel to the xz plane Plane...

A: here x=D where D is real number is the constant line equation so this line is parallel to yz plane b...

Q: - 2y +y-0 if y(0) - 3, y (0) 0.

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Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule differe...

Q: Find the derivative of the vector function below r(x) = sin°(secx ?)i +csc'(Vx² +1)j +8tan(x ²) k

A: Given: - The vector function is, r(x)=sin2secx2 i+csc3x2+1j+8tan(x2)k To find: -The derivative of th...

Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + R sin (wt) ĵ, where R ...

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Q: Use Stokes’ Theorem to evaluate the closed loop line integral F*dr where F(x,y,z) = xi + yj + 3(x^2+...

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Q: Use the cross product to find the area of the triangle with the vertices P = (2, 2, 6), Q = (3,4, 3)...

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Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct re...

A: Let's find. 

Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2 ...

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

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Q: Evaluate the following integral. z+6 dz z(z² +4) Can partial fraction decomposition be used to evalu...

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve...

Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

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Q: Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case, ...

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Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

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Q: Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west a...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...

A: To sketch: The curve r(t)→=&lt;tcost,t,tsint&gt; Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...

Q: The function f(x) = ln(cos x) has a root at x = 2π, with x measured in radians. Use the Newton-Raphs...

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Q: Determine 2) if g) = csch (4x +3) %3D

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Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

Q: กำหนดให้ f(x, y) = xy cos.x x² +3y²

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: NOTE: Refresh your page if you can't see any equations. . here we have 

Q: A dilation has center​ (0,0). Find the image of the point ​L(−3​,0​) for the scale factor 2. L'=

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Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: topic - application of derivatives

Q: Σ (-1)", n = 0 40

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Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: Q2 LB/

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: Without the aid of Wrongskian, determine whether the given set of functions is linearly independent ...

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Q: a . Use separation of variables to find the general implicit solution to the differential equation. ...

A: Answer: As per guidelines we can do only 1 question at a time so post other question separately , th...

Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: If f(x) V4 + 4t° dt, then find f'(x). -

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Q: 46 csc B tan B = tan B csc B sec B cot B

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Q: a) y = cos(e 2x) (e2x) -1

A: Differentiate wrt x

Q: sec x (Ъ) у -

A: Let's find. 

Q: (b) What is the equivalent annual interest rate? (Round your answer to two decimal places.)

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Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...